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Finding the Fourth Proportional to 498,659.47, 688,199.88 and 297,455.47

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Solution

The fourth proportional to 498,659.47, 688,199.88 and 297,455.47 is: 410,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,659.47 : 688,199.88 = 297,455.47 : x
  2. Step 2: Convert to fraction form
    498,659.47/688,199.88 = 297,455.47/x
  3. Step 3: Cross multiply
    498,659.47x = 688,199.88 × 297,455.47
  4. Step 4: Simplify right side
    498,659.47x = 204,708,818,759.34
  5. Step 5: Solve for x
    x = 204,708,818,759.34/498,659.47
  6. Step 6: Final answer
    x = 410,518.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.